Used and loved by millions
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com
a mathematical model
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "a mathematical model" is correct and usable in written English.
It can be used when referring to a representation of a system or phenomenon using mathematical concepts and language. Example: "The researchers developed a mathematical model to predict the spread of the disease in the population."
✓ Grammatically correct
Science
News & Media
Academia
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Human-verified examples from authoritative sources
Exact Expressions
60 human-written examples
His technique involved a mathematical model called autocorrelation.
News & Media
Bavelas, A. A mathematical model for group structures.
Science & Research
A mathematical model is developed.
Science
A mathematical model describing the electrodeposition of Ni Mo alloys.
Science & Research
A mathematical model for networks with structures in the mesoscale.
Science & Research
If you want to be persuasive, provide a mathematical model.
Watts began with a thought game, a mathematical model.
Academia
Third, we need a mathematical model of risk pooling.
Academia
From this information, they have built a mathematical model.
News & Media
So, he tried to build a mathematical model of dividends.
Academia
A mathematical model that integrates these variables has been developed.
Academia
Expert writing Tips
Best practice
When describing a complex system, start by outlining the key variables and assumptions before diving into the mathematical details of the "mathematical model".
Common error
Avoid treating the "mathematical model" as a perfect reflection of reality. Remember that models are simplifications and have limitations. Always acknowledge the assumptions and potential sources of error.
Source & Trust
89%
Authority and reliability
4.6/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "a mathematical model" functions as a noun phrase, typically acting as the subject or object of a sentence. According to Ludwig, the phrase is correct and usable in English. It denotes a representation of a system or phenomenon using mathematical concepts.
Frequent in
Science
47%
News & Media
27%
Academia
26%
Less common in
Ludwig's WRAP-UP
In summary, the phrase "a mathematical model" is a grammatically correct and very common noun phrase used to describe a representation of a system using mathematical concepts. As confirmed by Ludwig AI, it's widely employed across scientific, academic, and news contexts. The phrase functions to describe, explain, or predict behavior and carries a formal tone. When using "a mathematical model", remember to acknowledge its inherent simplifications and limitations. Consider using alternatives like "quantitative model" or "computational model" depending on the specific context.
More alternative expressions(10)
Phrases that express similar concepts, ordered by semantic similarity:
mathematical representation
Focuses on the aspect of representing something mathematically, broadening the scope beyond just models.
mathematical formulation
Focuses on the process of expressing something in mathematical terms, rather than the model itself.
quantitative model
Emphasizes the use of quantities and numerical data in the model, highlighting a specific type of mathematical model.
statistical model
Highlights the use of statistical methods and data in the model.
computational model
Highlights the computational aspect, implying the model is implemented and run on a computer.
predictive model
Emphasizes the model's ability to make predictions about future outcomes.
theoretical framework
More abstract, suggesting a broader theoretical basis that may include mathematical models.
analytical framework
Emphasizes the analysis aspect, suggesting a structured approach to understanding a system, potentially involving mathematical models.
simulation model
Implies the model is used to simulate the behavior of a system over time.
conceptual model
Suggests a simplified representation of a system, which may or may not involve mathematical equations.
FAQs
How is "a mathematical model" used in research?
Researchers use "a mathematical model" to simulate, analyze, and predict the behavior of complex systems, test hypotheses, and gain insights that might be difficult or impossible to obtain through direct observation.
What are some alternatives to using "a mathematical model"?
Depending on the context, you might use phrases like "quantitative model", "computational model", or "statistical model". Each of these emphasizes a specific aspect of the modeling process.
What's the difference between "a mathematical model" and "a physical model"?
"A mathematical model" uses equations and mathematical relationships to represent a system, while "a physical model" is a tangible, physical representation of the system.
How do you create "a mathematical model"?
Creating "a mathematical model" involves identifying key variables, defining relationships between them using mathematical equations, and validating the model against empirical data.
Editing plus AI, all in one place.
Stop switching between tools. Your AI writing partner for everything—polishing proposals, crafting emails, finding the right tone.
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
89%
Authority and reliability
4.6/5
Expert rating
Real-world application tested